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Finding the Fourth Proportional to 3,097.84, 4,648.12 and 1,252.55

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Solution

The fourth proportional to 3,097.84, 4,648.12 and 1,252.55 is: 1,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.84 : 4,648.12 = 1,252.55 : x
  2. Step 2: Convert to fraction form
    3,097.84/4,648.12 = 1,252.55/x
  3. Step 3: Cross multiply
    3,097.84x = 4,648.12 × 1,252.55
  4. Step 4: Simplify right side
    3,097.84x = 5,821,996.44
  5. Step 5: Solve for x
    x = 5,821,996.44/3,097.84
  6. Step 6: Final answer
    x = 1,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.